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NZ N 245 Multiplication Strategy Display Posters Ver 1

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Multiplication Strategies

Array
Rows and columns with an
equal amount in each.

3 x 5 = 15
Multiplication Strategies

Equal Groups
Use the same number of ones
in each group.

3 x 5 = 15
Multiplication Strategies

Repeated
Addition

5+5+5=15

3 x 5 = 15
Multiplication Strategies

Number Line
Starting from zero, hop 5 at a
time. Where do you land?

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

1 hop of 5 = 5
2 hops of 5 = 10
3 hops of 5 = 15

3 x 5 = 15
Multiplication Strategies

Latice / Italian
Draw a grid to match the numbers.
5 2
Write the partitioned numbers on 3
top and to the right.
Draw diagonals. 8
5 2
Multiply the numerals.
Write the answers in the relevant
1
5
0
6 3
4 1
8
box, writing the digits either side of
the diagonal. 0 6

5 2
Add the diagonals in turn. 1 1
5
0
6
3
Carry any “tens” as required.
9 4
0
1
6
8
7 6

52 x 38 = 1976
Multiplication Strategies

Partitioning
52 x 38
Multiply each partition together
and add the products.

50 x 30 = 1500
2 x 30 = 60
50 x 8 = 400
2x8 = 16
1976

52 x 38 = 1976
Multiplication Strategies

Grid Method
x 50 2 Draw a grid.
Write the partitioned numbers at the
30 top and left of the grid.

8
x 50 2
30 1500 60
Multiply the partitioned numbers.

8 400 16

1500
+ 60
+ 400 Add the products.

+ 16
1976

52 x 38 = 1976
Multiplication Strategies

Column Method
52 Write the numbers above each other
in columns.
x 38

52
x 38 Multiply 52 x 8
416

52
x 38
Multiply 52 x 30
416
1560

416
Add the products.
+ 1560
1976

52 x 38 = 1976
Multiplication Strategies
Expanded Column Method
Line up the ones and the tens.
Multiply the ones.
Multiply the tens.
Add the totals together.

42
x 6
12 (2 x 6)
240 (40 x 6)
252

42 x 6 = 252
Multiplication Strategies

Column Method
3-digit x 2-digit carrying not shown

368 Write the numbers above each other


in columns.
x 24

368
x 24 Multiply 368 x 4
1472

368
x 24
Multiply 368 x 20
1472
7360

1472
Add the products.
+ 7360
8832

368 x 24 = 8832
Multiplication Strategies

Column Method
4-digit x 2-digit carrying not shown

5368 Write the numbers above each other


in columns.
x 24

5368
x 24 Multiply 5368 x 4
21472

5368
x 24
Multiply 5368 x 20
21472
107360

21473
Add the products.
+ 107360
128832

5368 x 24 = 128 832


Multiplication Strategies

Column Method
5-digit x 2-digit carrying not shown

25368 Write the numbers above each other


in columns.
x 24

25368
x 24 Multiply 25 368 x 4
101472

25368
x 24
Multiply 25 368 x 20
101472
507360

101473
Add the products.
+ 507360
608832

25 368 x 24 = 608 832


Multiplication Strategies

Column Method
6-digit x 2-digit carrying not shown

125368 Write the numbers above each other


in columns.
x 24

125368
x 24 Multiply 125 368 x 4
501472

125368
x 24
Multiply 125 368 x 20
501472
2507360

501473
Add the products.
+ 2507360
3008832

125 368 x 24 = 3 008 832


Multiplication Strategies

Multiply by 10
Use place value to work out how to multiply by 10.
674 x 10 = ?
If you multiply a number by 10, the digits move one place to value to the left.

Thousands Hundreds Tens Ones

6 7 4
Thousands Hundreds Tens Ones

6 7 4 0
Zeros will be added after the digits have moved.
674 x 10 = 6740
Use place value to work out how to multiply by 100.
674 x 100 = ?
Ten Thousands Thousands Hundreds Tens Ones

6 7 4
Ten Thousands Thousands Hundreds Tens Ones

6 7 4 0 0
Zeros will be added after the digits have moved.

674 x 100 = 67 400


Multiplication Strategies
Multiplying Decimals by 10
Use place value to work out how to multiply by 10.
6.74 x 10 = ?
If you multiply a number by 10, the digits move one place to value to the left.

Hundreds Tens Ones Tenths Hundredths

6 7 4
Hundreds Tens Ones Tenths Hundredths

6 7 4
6.74 x 10 = 67.4
Use place value to work out how to multiply by 100.
6.74 x 100 = ?
Hundreds Tens Ones Tenths Hundredths

6 7 4
Hundreds Tens Ones Tenths Hundredths

6 7 4
If you multipy a number by 100, the digits move two places to the left.

6.74 x 100 = 674

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